Enumeration of ad-nilpotent b-ideals for simple Lie algebras

Advances in Applied Mathematics

Volumn 28, Issue 3-4, 2002, Pages 478-522

  Krattenthaler, Christian ^a   Orsina, Luigi ^b   Papi, Paolo ^b  

^a UNIVERSITY OF VIENNA   (Austria)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Ad nilpotent ideal; Chebyshev polynomial; Dyck path; Lie algebra; Order ideal

Indexed keywords

EID: 0036086699     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.2001.0792     Document Type: Article

References (21)

1. ad-nilpotent b-ideals in sl(n) having a fixed class of nilpotence: Combinatorics and enumeration
2. Characteristic polynomials of subspace arrangements and finite fields
3. Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
4. ad-nilpotent ideals of a Borel subalgebra
5. A proof of the q, t-Catalan positivity conjecture
6. A remarkable q, t-Catalan sequence and q-Lagrange inversion
7. Basic hypergeometric series
8. Conjectured statistics for the the q,t-Catalan numbers
9. Eigenvalues of a Laplacian and commutative Lie subalgebras
10. The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations
11. Permutations with restricted patterns and Dyck paths
12. Enumeration of ad-nilpotent ideals of a Borel subalgebra in type A by class of nilpotence
13. Non-crossing partitions for classical reflection groups
14. The number of ⊕-sign types
15. Noncrossing partitions